
Time bar (total: 2.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 7 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 8 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 9 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 10 |
| 93.8% | 93.8% | 6.1% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 8 to 5 computations (37.5% saved)
ival-div: 2.0ms (47.2% of total)ival-add: 2.0ms (47.2% of total)const: 0.0ms (0% of total)| 571.0ms | 8256× | 0 | valid |
ival-div: 76.0ms (51.4% of total)ival-add: 61.0ms (41.2% of total)const: 7.0ms (4.7% of total)backward-pass: 3.0ms (2% of total)| 1× | egg-herbie |
| 227× | fma-define |
| 138× | fma-neg |
| 81× | times-frac |
| 51× | associate-*l* |
| 41× | unsub-neg |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 178 |
| 1 | 43 | 154 |
| 2 | 83 | 154 |
| 3 | 175 | 154 |
| 4 | 395 | 154 |
| 5 | 664 | 154 |
| 6 | 965 | 154 |
| 7 | 1086 | 154 |
| 8 | 1129 | 154 |
| 9 | 1157 | 154 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 y x)) |
(/.f64 x (+.f64 y x)) |
(/.f64 (neg.f64 x) (+.f64 y (neg.f64 x))) |
(/.f64 x (+.f64 (neg.f64 y) x)) |
(neg.f64 (/.f64 (neg.f64 x) (+.f64 y (neg.f64 x)))) |
(neg.f64 (/.f64 x (+.f64 (neg.f64 y) x))) |
(/.f64 y (+.f64 x y)) |
| Outputs |
|---|
(/.f64 x (+.f64 y x)) |
(/.f64 x (+.f64 x y)) |
(/.f64 x (+.f64 y x)) |
(/.f64 x (+.f64 x y)) |
(/.f64 (neg.f64 x) (+.f64 y (neg.f64 x))) |
(/.f64 x (-.f64 x y)) |
(/.f64 x (+.f64 (neg.f64 y) x)) |
(/.f64 x (-.f64 x y)) |
(neg.f64 (/.f64 (neg.f64 x) (+.f64 y (neg.f64 x)))) |
(/.f64 x (-.f64 y x)) |
(neg.f64 (/.f64 x (+.f64 (neg.f64 y) x))) |
(/.f64 x (-.f64 y x)) |
(/.f64 y (+.f64 x y)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (+.f64 y x) |
| 0 | 0 | - | 0 | - | (/.f64 x (+.f64 y x)) |
| 0 | 0 | - | 0 | - | y |
| 38.0ms | 512× | 256 | valid |
Compiled 33 to 14 computations (57.6% saved)
ival-div: 4.0ms (44.2% of total)ival-add: 4.0ms (44.2% of total)const: 0.0ms (0% of total)Compiled 7 to 4 computations (42.9% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 x (+.f64 y x)) |
Compiled 7 to 4 computations (42.9% saved)
Found 1 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 x (+.f64 y x)) |
| 23.0ms | 256× | 256 | valid |
Compiled 13 to 5 computations (61.5% saved)
ival-div: 2.0ms (48.8% of total)ival-add: 2.0ms (48.8% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 x (+.f64 y x))> |
| Outputs |
|---|
#<alt (/.f64 x y)> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))> |
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))> |
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y)) x)))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1 binary64) y)) x)))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (/.f64 x y)> |
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)> |
#<alt (/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)> |
#<alt (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)> |
#<alt (/.f64 x y)> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y))) y))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) y))) y))> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/ x (+ y x)) |
| 1.0ms | x | @ | 0 | (/ x (+ y x)) |
| 1.0ms | y | @ | inf | (/ x (+ y x)) |
| 0.0ms | x | @ | inf | (/ x (+ y x)) |
| 0.0ms | x | @ | -inf | (/ x (+ y x)) |
| 1× | batch-egg-rewrite |
| 570× | log1p-expm1-u |
| 570× | expm1-log1p-u |
| 493× | unpow-prod-down |
| 473× | prod-diff |
| 270× | log-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 102 | 22 |
| 2 | 1509 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 y x)) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 x (+.f64 x y))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) #s(literal 1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) (cbrt.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 x y))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 x y))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 x (cbrt.f64 (+.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (/.f64 x (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (+.f64 x y))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (cbrt.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 x y))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (+.f64 x y)))) |
(*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) |
(*.f64 (/.f64 x (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (+.f64 x y))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 y x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) x) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y))) (cbrt.f64 (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y))) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (cbrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(/.f64 x (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(/.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 x y)) |
(/.f64 (/.f64 x (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (cbrt.f64 (+.f64 x y))) |
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x y))) |
(sqrt.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) |
(log.f64 (exp.f64 (/.f64 x (+.f64 x y)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 x y))))) |
(cbrt.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))))) |
(cbrt.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y)))) |
(exp.f64 (log.f64 (/.f64 x (+.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 596× | fma-define |
| 460× | associate-/r* |
| 423× | associate-*r/ |
| 389× | associate-/l* |
| 305× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 358 | 4709 |
| 1 | 846 | 4466 |
| 2 | 2266 | 4223 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x y) |
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y)) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1 binary64) y)) x))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 x y) |
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) |
(/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y) |
(/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) |
(/.f64 x y) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y))) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) y))) y)) |
(+.f64 #s(literal 0 binary64) (/.f64 x (+.f64 x y))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) #s(literal 1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) (cbrt.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 x y))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 x y))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 x (cbrt.f64 (+.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (/.f64 x (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (+.f64 x y))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (cbrt.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 x y))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (+.f64 x y)))) |
(*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) |
(*.f64 (/.f64 x (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (+.f64 x y))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 y x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) x) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y))) (cbrt.f64 (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y))) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (cbrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(/.f64 x (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(/.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 x y)) |
(/.f64 (/.f64 x (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (cbrt.f64 (+.f64 x y))) |
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x y))) |
(sqrt.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) |
(log.f64 (exp.f64 (/.f64 x (+.f64 x y)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 x y))))) |
(cbrt.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))))) |
(cbrt.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y)))) |
(exp.f64 (log.f64 (/.f64 x (+.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 x y) |
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y) |
(*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 x x) (/.f64 x y)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))) |
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y)) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1 binary64) y)) x))) |
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) |
(/.f64 x y) |
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) |
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y) |
(/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y) |
(/.f64 (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) y) |
(/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) |
(/.f64 (-.f64 x (/.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(/.f64 x y) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)) |
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y))) y)) |
(/.f64 (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) y) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) y))) y)) |
(/.f64 (-.f64 x (/.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(+.f64 #s(literal 0 binary64) (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) #s(literal 1 binary64)) |
(/.f64 x (+.f64 x y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) |
(/.f64 x (+.f64 x y)) |
(*.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(/.f64 x (+.f64 x y)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) (cbrt.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 x y))) |
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x y))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x y))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64))) |
(/.f64 x (+.f64 x y)) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(/.f64 x (+.f64 x y)) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 x y)) #s(literal 1 binary64))) |
(/.f64 x (+.f64 x y)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(/.f64 x (+.f64 x y)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))) #s(literal 1 binary64))) |
(/.f64 x (+.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) |
(/.f64 x (+.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 x (+.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 x (cbrt.f64 (+.f64 x y)))) |
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) #s(literal -1 binary64))) |
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (/.f64 x (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 x (/.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x y)))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) |
(*.f64 x (/.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x y)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (+.f64 x y))) |
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x y))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (cbrt.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x y))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (+.f64 x y)))) |
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))) |
(*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) |
(*.f64 x (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (/.f64 x (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x)) |
(/.f64 x (+.f64 x y)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) #s(literal 1 binary64))) |
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 x (/.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 x y)) #s(literal 1 binary64))) |
(/.f64 x (+.f64 x y)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (+.f64 x y))) #s(literal 1 binary64))) |
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) |
(*.f64 x (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 y x)) |
(/.f64 x (+.f64 x y)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 x (+.f64 x y)))) |
(/.f64 x (+.f64 x y)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) |
(/.f64 x (+.f64 x y)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) x) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y))))) |
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(/.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal 2 binary64))) |
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(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y))) (cbrt.f64 (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y))) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) |
(/.f64 x (+.f64 x y)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (cbrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(/.f64 x (+.f64 x y)) |
(/.f64 x (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x)) |
(/.f64 x (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64))) |
(/.f64 x (+.f64 x y)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) x))) |
(/.f64 x (+.f64 x y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(/.f64 x (+.f64 x y)) |
(/.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) |
(/.f64 x (+.f64 x y)) |
(/.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 x y)) |
(/.f64 x (+.f64 x y)) |
(/.f64 (/.f64 x (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (cbrt.f64 (+.f64 x y))) |
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))) |
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) |
(/.f64 x (+.f64 x y)) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) #s(literal 3 binary64)) |
(/.f64 x (+.f64 x y)) |
(pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)) |
(/.f64 x (+.f64 x y)) |
(pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) #s(literal 1/3 binary64)) |
(/.f64 x (+.f64 x y)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 x (+.f64 x y)) |
(pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1 binary64)) |
(/.f64 x (+.f64 x y)) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 1/3 binary64)) |
(/.f64 x (+.f64 x y)) |
(pow.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 x (+.f64 x y)) |
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(/.f64 x (+.f64 x y)) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(sqrt.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) |
(/.f64 x (+.f64 x y)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 x y)))) |
(/.f64 x (+.f64 x y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 x y))))) |
(/.f64 x (+.f64 x y)) |
(cbrt.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))))) |
(/.f64 x (+.f64 x y)) |
(cbrt.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) |
(/.f64 x (+.f64 x y)) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) |
(/.f64 x (+.f64 x y)) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y)))) |
(/.f64 x (+.f64 x y)) |
(exp.f64 (log.f64 (/.f64 x (+.f64 x y)))) |
(/.f64 x (+.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64))) |
(/.f64 x (+.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) #s(literal 3 binary64))) |
(/.f64 x (+.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))))) #s(literal 1/3 binary64))) |
(/.f64 x (+.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(/.f64 x (+.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal -1 binary64))) |
(/.f64 x (+.f64 x y)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 x (+.f64 x y)) |
Compiled 3619 to 1467 computations (59.5% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 241 | 3 | 244 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 241 | 4 | 245 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 x (+.f64 y x)) |
| ▶ | 49.7% | (/.f64 x y) |
| ▶ | 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x)) |
| ▶ | 52.7% | #s(literal 1 binary64) |
Compiled 24 to 16 computations (33.3% saved)
Found 2 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) x) |
| ✓ | 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x)) |
| 28.0ms | 256× | 256 | valid |
Compiled 27 to 10 computations (63% saved)
ival-div: 6.0ms (73.2% of total)ival-add: 2.0ms (24.4% of total)const: 1.0ms (12.2% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))> |
#<alt (/.f64 (+.f64 x y) x)> |
| Outputs |
|---|
#<alt (/.f64 x y)> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))> |
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))> |
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y)) x)))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1 binary64) y)) x)))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (/.f64 x y)> |
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)> |
#<alt (/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)> |
#<alt (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)> |
#<alt (/.f64 x y)> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y))) y))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) y))) y))> |
#<alt (/.f64 y x)> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))> |
#<alt (/.f64 y x)> |
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (/.f64 y x)> |
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/ (+ x y) x) |
| 0.0ms | x | @ | -inf | (/ (+ x y) x) |
| 0.0ms | x | @ | inf | (/ (+ x y) x) |
| 0.0ms | y | @ | inf | (/ (+ x y) x) |
| 0.0ms | x | @ | 0 | (/ (+ x y) x) |
| 1× | batch-egg-rewrite |
| 766× | unpow-prod-down |
| 700× | log1p-expm1-u |
| 700× | expm1-log1p-u |
| 473× | prod-diff |
| 344× | log-prod |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 50 |
| 1 | 135 | 44 |
| 2 | 1946 | 44 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x)) |
(/.f64 (+.f64 x y) x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 x (+.f64 x y))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal -2 binary64))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) (cbrt.f64 x)) (pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal -2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 x y))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y))) |
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 x (cbrt.f64 (+.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (pow.f64 (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) (/.f64 x (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (+.f64 x y))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (+.f64 x y))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x y))) |
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(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y))) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (cbrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal -2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (cbrt.f64 (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) x))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) x) (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 x y) x) (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 x y) x) (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 x y) x) (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)) (+.f64 x y)) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)) (cbrt.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)) (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (+.f64 x y) x) |
(/.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 (+.f64 x y) (*.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x y)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x y)) x)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y))) (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x y))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y)) |
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) (cbrt.f64 x)) #s(literal -3 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 x y) x) (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) (/.f64 (+.f64 x y) x)) #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (+.f64 x y) (*.f64 #s(literal -1 binary64) x))) |
(sqrt.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x))) |
(log.f64 (exp.f64 (/.f64 (+.f64 x y) x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) x)))) |
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (+.f64 x y) x))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (+.f64 x y) (*.f64 #s(literal -1 binary64) x))))) |
(cbrt.f64 (*.f64 (/.f64 (+.f64 x y) x) (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)))) |
(cbrt.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))) (*.f64 x (*.f64 x x)))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) x))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) x))) |
(exp.f64 (log.f64 (/.f64 (+.f64 x y) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x y) x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (/.f64 (+.f64 x y) x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (+.f64 x y) x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x y) x))) #s(literal 2 binary64))) |
| 1× | egg-herbie |
| 266× | unswap-sqr |
| 239× | associate-*l* |
| 232× | div-sub |
| 227× | associate-*r/ |
| 223× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 650 | 8589945909 |
| 1 | 1500 | 8589944794 |
| 2 | 4735 | 8589944302 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x y) |
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y)) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1 binary64) y)) x))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 x y) |
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) |
(/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y) |
(/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) |
(/.f64 x y) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y))) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) y))) y)) |
(/.f64 y x) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 y x) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 y x) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 0 binary64) (/.f64 x (+.f64 x y))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal -2 binary64))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) (cbrt.f64 x)) (pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal -2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 x y))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y))) |
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(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) (/.f64 (+.f64 x y) (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (+.f64 x y) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (+.f64 x y) x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (cbrt.f64 x))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 (+.f64 x y) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y))) (cbrt.f64 (*.f64 x x))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) x))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y))) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) (cbrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal -2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (cbrt.f64 (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) x))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) x) (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 x y) x) (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 x y) x) (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 x y) x) (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)) (+.f64 x y)) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)) (cbrt.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)) (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (+.f64 x y) x) |
(/.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 (+.f64 x y) (*.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x y)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x y)) x)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y))) (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x y))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y)) |
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) (cbrt.f64 x)) #s(literal -3 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 x y) x) (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) (/.f64 (+.f64 x y) x)) #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (+.f64 x y) (*.f64 #s(literal -1 binary64) x))) |
(sqrt.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x))) |
(log.f64 (exp.f64 (/.f64 (+.f64 x y) x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) x)))) |
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (+.f64 x y) x))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (+.f64 x y) (*.f64 #s(literal -1 binary64) x))))) |
(cbrt.f64 (*.f64 (/.f64 (+.f64 x y) x) (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)))) |
(cbrt.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))) (*.f64 x (*.f64 x x)))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) x))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) x))) |
(exp.f64 (log.f64 (/.f64 (+.f64 x y) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x y) x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (/.f64 (+.f64 x y) x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (+.f64 x y) x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x y) x))) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 x y) |
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) x)) |
(*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (/.f64 y x)) y) x)) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))) |
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 y (/.f64 y x)) y) x)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y)) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (/.f64 y x)) y) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1 binary64) y)) x))) |
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 y (/.f64 y x)) y) x)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (/.f64 y x)) y) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
(/.f64 x y) |
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) |
(/.f64 (-.f64 x (*.f64 x (/.f64 x y))) y) |
(/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y) |
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y)) y) |
(/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) |
(/.f64 (+.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y)) y) |
(/.f64 x y) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)) |
(/.f64 (-.f64 x (*.f64 x (/.f64 x y))) y) |
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(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(exp.f64 (log.f64 (/.f64 (+.f64 x y) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x y) x))) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (/.f64 (+.f64 x y) x))) #s(literal 3 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (+.f64 x y) x))) #s(literal 1/3 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x y) x))) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
Compiled 9447 to 3985 computations (57.8% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 580 | 0 | 580 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 580 | 4 | 584 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 x (+.f64 y x)) |
| ✓ | 49.7% | (/.f64 x y) |
| ✓ | 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x)) |
| ✓ | 52.7% | #s(literal 1 binary64) |
Compiled 42 to 26 computations (38.1% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 x y) |
(/.f64 x (+.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x)) |
| Outputs |
|---|
(/.f64 x (+.f64 y x)) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (/.f64 x (+.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 x (+.f64 y x)) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 x y) |
| Outputs |
|---|
(/.f64 x y) |
#s(literal 1 binary64) |
(/.f64 x y) |
2 calls:
| 5.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 5 | x |
| 77.4% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
2 calls:
| 0.0ms | y |
| 0.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.7% | 1 | x |
| 52.7% | 1 | y |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 7.933809341702802e-16 | 0.27958663359252867 |
| 14.0ms | -6.461087307022617e-62 | -2.435308707605087e-65 |
| 21.0ms | 288× | 0 | valid |
Compiled 192 to 152 computations (20.8% saved)
ival-div: 2.0ms (42.7% of total)ival-add: 2.0ms (42.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 3× | 1-exp |
| 2× | if-if-or-not |
| 1× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 68 |
| 1 | 32 | 68 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 y x)) |
(if (<=.f64 y #s(literal -7410693711188237/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (/.f64 x y) (if (<=.f64 y #s(literal 3246626956972881/147573952589676412928 binary64)) #s(literal 1 binary64) (/.f64 x y))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 x (+.f64 y x)) |
(/.f64 x (+.f64 x y)) |
(if (<=.f64 y #s(literal -7410693711188237/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (/.f64 x y) (if (<=.f64 y #s(literal 3246626956972881/147573952589676412928 binary64)) #s(literal 1 binary64) (/.f64 x y))) |
(if (or (<=.f64 y #s(literal -7410693711188237/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (not (<=.f64 y #s(literal 3246626956972881/147573952589676412928 binary64)))) (/.f64 x y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 1× | done |
Compiled 21 to 14 computations (33.3% saved)
Compiled 56 to 36 computations (35.7% saved)
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